Search a number
-
+
229801943538 = 23347487185923
BaseRepresentation
bin1101011000000101000…
…0110110000111110010
3210222011021220021111000
43112001100312013302
512231113244143123
6253323005102430
722413464201526
oct3260120660762
9728137807430
10229801943538
118950522a502
1238654257a16
131889365a7ab
14b1a00d1d86
155e9e9c9b43
hex35814361f2

229801943538 has 64 divisors (see below), whose sum is σ = 522610053120. Its totient is φ = 74816500176.

The previous prime is 229801943537. The next prime is 229801943561. The reversal of 229801943538 is 835349108922.

229801943538 is a `hidden beast` number, since 2 + 2 + 98 + 0 + 19 + 4 + 3 + 538 = 666.

229801943538 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (229801943533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143045 + ... + 1328967.

It is an arithmetic number, because the mean of its divisors is an integer number (8165782080).

Almost surely, 2229801943538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229801943538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261305026560).

229801943538 is an abundant number, since it is smaller than the sum of its proper divisors (292808109582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229801943538 is a wasteful number, since it uses less digits than its factorization.

229801943538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186468 (or 186462 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 229801943538 in words is "two hundred twenty-nine billion, eight hundred one million, nine hundred forty-three thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 487 846 974 1269 1461 2538 2922 4383 8766 13149 22889 26298 45778 68667 137334 185923 206001 371846 412002 557769 618003 1115538 1236006 1673307 3346614 5019921 8738381 10039842 17476762 26215143 52430286 78645429 90544501 157290858 181089002 235936287 271633503 471872574 543267006 814900509 1629801018 2444701527 4255591547 4889403054 8511183094 12766774641 25533549282 38300323923 76600647846 114900971769 229801943538